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Finding the Fourth Proportional to 287,207.57, 430,827.55 and 87,534.47

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Solution

The fourth proportional to 287,207.57, 430,827.55 and 87,534.47 is: 131,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,207.57 : 430,827.55 = 87,534.47 : x
  2. Step 2: Convert to fraction form
    287,207.57/430,827.55 = 87,534.47/x
  3. Step 3: Cross multiply
    287,207.57x = 430,827.55 × 87,534.47
  4. Step 4: Simplify right side
    287,207.57x = 37,712,261,250.65
  5. Step 5: Solve for x
    x = 37,712,261,250.65/287,207.57
  6. Step 6: Final answer
    x = 131,306.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.